Which sequence is arithmetic? 6, 12, 15, 21, 7, 14, 21, 36, 8, 16, 32, 64, 9, 18, 27, 36,

9, 18, 27, 36, ... is an arithmetic sequence.

Last option is correct.

Step-by-step explanation:

In Arithmetic sequence the difference of two consecutive terms is equal and we called this difference as common difference.

Therefore, we check in which the difference of two consecutive terms is equal.

For 1st sequence

6, 12, 15, 21, ...

12-6 = 6

15-12 = 3

The difference is not equal. Hence, it is not an arithmetic sequence.

For 2nd sequence

7, 14, 21, 36, ...

21-14=7

36-21=15

The difference is not equal. Hence, it is not an arithmetic sequence.

For 3rd sequence

8, 16, 32, 64,

16-8=8

32-16=16

The difference is not equal. Hence, it is not an arithmetic sequence.

For 4th sequence

9, 18, 27, 36, ...

18-9=9

27-18=9

The difference is equal. Hence, it is an arithmetic sequence.

Therefore, 9, 18, 27, 36, ... is an arithmetic sequence.

Last option is correct.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)